Question

Please help me with this

Answer 1

Answer:

D. I did the math on my calculator

Answer 2

Answer:

D. $\sqrt{250}$

Step-by-step explanation:

First, use prime factorization of 250 to get $\sqrt{2*5^3}$

Then apply the exponent rule, $a^{b+c} =a^{b}*a^{c}$

=$\sqrt{2*5^2*5} }$

Apply radical rule: $\sqrt{ab}= \sqrt{a} \sqrt{b}, a\geq 0, b\geq 0$

=$\sqrt{5^{2}} \sqrt{2*5}$

Apply radical rule: $\sqrt{a^{2}} =a, a\geq 0$

=5$\sqrt{2*5}$

=5$\sqrt{10}$